I. Petrykiewicz

activity

20132021

most citedA computational history of prime numbers and Riemann zeros

11 citations · 23 across the 7 of their papers we have counts for

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math.NT2018★ 11 cited

A computational history of prime numbers and Riemann zeros

Pieter Moree, Izabela Petrykiewicz, Alisa Sedunova

We give an informal survey of the historical development of computations related to prime number distribution and zeros of the Riemann zeta function.

math.NT2014★ 2 cited

Differentiability of arithmetic Fourier series arising from Eisenstein series

Izabela Petrykiewicz

Let $k$ be even. We consider two series $F_{k} (x) = \sum_{n = 1}^{\infty} \frac{σ _{k - 1} ( n )}{n ^{k + 1}} sin (2 π n x)$ and $G_{k} (x) = \sum_{n = 1}^{\infty} \frac{σ _{k - 1} ( n )}{n ^{k + 1}} cos (2 π n x)$ , w…

math.NT2013★ 6 cited

Hölder regularity of arithmetic Fourier series arising from modular forms

Izabela Petrykiewicz

Given a modular form which is not a cusp form $M_{k} (z) = \sum_{n = 0}^{\infty} r_{n} e^{2 π in z}$ of weight $k \geq 4$ , we define the series $M_{k,s}(x)=\sum_{n=1}^{\infty}\frac{r_n}{n^s}\sin…